Next Article in Journal
Characterization of Magnetic Structure and Large Barkhausen Jump Mechanism in Wiegand Wires Using Multiple Experimental Techniques
Previous Article in Journal
A Temperature-Corrected High-Frequency Non-Sinusoidal Excitation Core Loss Prediction Model
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

A Physics-Informed Neural Network with Hybrid Architecture for Magnetic Core Loss Prediction Under Complex Conditions

1
School of Information Science and Technology, Nantong University, Nantong 226019, China
2
School of Civil Engineering, Central South University, Changsha 410083, China
*
Author to whom correspondence should be addressed.
Magnetochemistry 2026, 12(1), 7; https://doi.org/10.3390/magnetochemistry12010007
Submission received: 11 November 2025 / Revised: 22 December 2025 / Accepted: 7 January 2026 / Published: 10 January 2026
(This article belongs to the Section Magnetic Materials)

Abstract

Magnetic core loss is an important indicator for describing the performance of magnetic elements. The traditional physical model has an insufficient performance for predicting the magnetic core loss of magnetic elements under complex conditions such as high temperature, non-sinusoidal waveform, and high frequency. To address this issue, this study proposes a physics-informed neural network (PINN)-based model for magnetic core loss prediction. In particular, this PINN-based model is constructed with a hybrid network architecture as a baseline algorithm, which combines a convolutional long short-term memory network (Conv-LSTM), power spectral density (PSD), and an ensemble learning method (including extreme gradient boosting (XGB), gradient boosting regression (GBR), and random forest (RF)). This design aims to address the complexity of magnetic core loss prediction. Moreover, the Steinmetz equation (SE) is improved to enhance the adaptability under complex conditions, and this improved Steinmetz equation (ISE) is integrated as physical constraints embedded in the neural network for magnetic core loss prediction. Based on the traditional data-driven loss term, the physical residual term is introduced as a regularization constraint to enable the prediction to satisfy both the observed data distribution and physical law. The experimental results show that the PINN-based model has a good prediction performance of magnetic core loss under complex conditions.
Keywords: magnetic element; magnetic core loss; prediction; physics-informed neural network; improved Steinmetz equation magnetic element; magnetic core loss; prediction; physics-informed neural network; improved Steinmetz equation

Share and Cite

MDPI and ACS Style

Shen, X.; Zhong, H.; Han, R. A Physics-Informed Neural Network with Hybrid Architecture for Magnetic Core Loss Prediction Under Complex Conditions. Magnetochemistry 2026, 12, 7. https://doi.org/10.3390/magnetochemistry12010007

AMA Style

Shen X, Zhong H, Han R. A Physics-Informed Neural Network with Hybrid Architecture for Magnetic Core Loss Prediction Under Complex Conditions. Magnetochemistry. 2026; 12(1):7. https://doi.org/10.3390/magnetochemistry12010007

Chicago/Turabian Style

Shen, Xiaoyan, Hongkui Zhong, and Ruiqing Han. 2026. "A Physics-Informed Neural Network with Hybrid Architecture for Magnetic Core Loss Prediction Under Complex Conditions" Magnetochemistry 12, no. 1: 7. https://doi.org/10.3390/magnetochemistry12010007

APA Style

Shen, X., Zhong, H., & Han, R. (2026). A Physics-Informed Neural Network with Hybrid Architecture for Magnetic Core Loss Prediction Under Complex Conditions. Magnetochemistry, 12(1), 7. https://doi.org/10.3390/magnetochemistry12010007

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop